# Given the function #f(x)=(x^2-1)/(x-2)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [-1,3] and find the c?

##### 1 Answer

See below

#### Explanation:

You determine whether it satisfies the hypotheses by determining whether

You find the

Since

(There is no need to check the second hypothesis.)

To attempt to find

The equation has no solution, so there is no

**For those who think attempting to solve the equation was pointless**

I suggest you consider

Or for a function for which such a